Browsing: All Content in Calculus for Definite Integrals  Browse discussions |
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Resource Name |
Topic (Course) |
Technology |
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Sketchpad Activities for Intro...
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Interpretations & properties (Calculus)+ |
Sketchpad |
Activity |
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Sketchpad Activities for Introducing Calculus Topics is a series of five activities designed to introduce students to the basic concepts of calculus. Use these activities near the end of Precalculus c...
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The Area Function
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Interpretations & properties (Calculus) |
TI-Nspire |
Activity |
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In this activity, students will look at the graph of a function g(x), defined to be the integral of a function f(x), with the goal of understanding Part 1 of the Fundamental Theorem of Calculus. Speci...
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Areas
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Riemann sums: L, R, and M. (Calculus) |
Computer |
Support Material |
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Compare the estimates for the area under part of a parabola given by inscribed and circumscribed rectangles.
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Areas
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Riemann sums: L, R, and M. (Calculus) |
Computer |
Support Material |
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Compare the estimates for the area under part of a sine curve given by inscribed and circumscribed rectangles.
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Definite Integrals
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Riemann sums: int. as lim. (Calculus) |
Computer |
Support Material |
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Defines a definite integral as the limit of Riemann sums.
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Special Riemann Sums
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Riemann sums: L, R, and M. (Calculus) |
Computer |
Support Material |
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Defines various special kinds of Riemann sums.
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RiemannSums.java
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Riemann sums: L, R, and M. (Calculus) |
Java Applet |
Support Material |
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Source code for the RiemannSums applet.
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MultyGraphiX
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Definite Integrals (Calculus) |
Computer |
Tool |
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Windows software which allows the display of 2D and 3D diagrams both on one, and on different screens. Display 2D diagrams in the Cartesian and polar systems of coordinates. Display 3D diagrams in t...
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Approximation of Areas
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Riemann sums: L, R, and M. (Calculus) |
Flash |
Tool |
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Animated directions for approximating the area under a particular function by using circumscribed rectangles.
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Approximation of Areas
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Riemann sums: L, R, and M. (Calculus) |
Flash |
Tool |
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Animated directions for approximating the area under a particular function by using inscribed rectangles.
More: lessons, discussions, ratings, reviews,...
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Definite Integrals
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Riemann sums: int. as lim. (Calculus) |
Flash |
Tool |
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Uses Riemann sums to evaluate a particular definite integral.
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Definite Integrals
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Riemann sums: int. as lim. (Calculus) |
Flash |
Tool |
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Uses Riemann sums to prove a proposition about inequalities and integrals.
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Definite Integrals
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Riemann sums: int. as lim. (Calculus) |
Flash |
Tool |
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Uses Riemann sums to prove a special case of the proposition that the integral of a function from a to b is the same as the sum of the integrals from a to c and from c to b.
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Definite Integrals
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Additivity and linearity (Calculus) |
Flash |
Tool |
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 [2]
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Proof using Riemann sums that the integral of a sum is the same as the sum of the integrals.
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Definite Integrals
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Additivity and linearity (Calculus) |
Flash |
Tool |
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 [2]
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Proof using Riemann sums that you can bring a constant factor outside an integral.
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Definite Integrals
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Riemann sums: int. as lim. (Calculus) |
Flash |
Tool |
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[0]
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Proof using Riemann sums that the integral from a to b of 1 is b-a.
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Double Integrals in Rectangula...
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Definite Integrals (Calculus) |
Flash |
Tool |
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This applet give the user an opportunity to practice finding limits of integration in double integrals. The user can enter the limits and the resulting region on the plane is displayed. In many practi...
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Graphing the Cantor Function
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Definite Integrals (Calculus) |
Flash |
Tool |
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In this simple applet, you can graph ten steps for the Cantor function (before changes can no longer be visible on screen).
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The Definite Integral in Terms...
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Definite Integrals (Calculus) |
Flash |
Tool |
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This simple applet uses many examples to dynamically illustrate the Fundamental Theorem of Calculus and the meaning of the definte integral in terms of areas. The areas are shaded and the value of the...
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Approximating Distance Travele...
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Interpretations & properties (Calculus) |
Java Applet |
Tool |
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A Java applet that introduces the idea of integration through a velocity example, with questions to answer using the applet. Includes a re-scalable presentation version with large fonts.
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Approximating Distance Travele...
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Interpretations & properties (Calculus) |
Java Applet |
Tool |
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A Java applet that introduces the idea of integration through a velocity example using a graph, with questions to answer using the applet. Includes a re-scalable presentation version with large fonts.
More: lessons, discussions, ratings, reviews,...
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Approximation of Areas
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Riemann sums: L, R, and M. (Calculus) |
Java Applet |
Tool |
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[0]
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Animated directions for approximating the area under a particular function by using circumscribed rectangles.
More: lessons, discussions, ratings, reviews,...
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Approximation of Areas
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Riemann sums: L, R, and M. (Calculus) |
Java Applet |
Tool |
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[0]
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Animated directions for approximating the area under a particular function by using inscribed rectangles.
More: lessons, discussions, ratings, reviews,...
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Area Under a Curve (The Hell o...
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Definite Integrals (Calculus) |
Java Applet |
Tool |
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[0]
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An explanation of integration; reading the entire explanation leads to "redemption".
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Definite Integrals
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Riemann sums: int. as lim. (Calculus) |
Java Applet |
Tool |
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[0]
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Uses Riemann sums to evaluate a particular definite integral.
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